Finite simple group的功能就是finite group的building block(各个学科都会有的一个思想,因为我们总可以从相对简单的东西入手获取insights,才能更好地去理解复杂的事物) Recall我们最初如何理解group: symmetry作为elements, 之后进行的不同的combination (finite/infinite). 同样地,prime cyclic groups Cp 不同的...
27 Classification of Finite Simple Groups 952 953 954 962 963 964 972 973 974 852 853 854 862 863 864 872 873 478 152 153 154 162 163 164 172 173 174 Enneagram Tritype by Katherine Fauvre CgsdHiou NetPad informed by Zhihu@Yifan 0发布于 2023-05-11 15:22・IP 属地中国香港...
Shi W. J. and Lipschutz S., A new classification of finite simple groups, Proceedings of the MFI’ 99Shi Wujie ,Lip schutz S. A new classification of finite simple gro up s[ C ] ∥The Mat hematical Foundatio n of Informatics. Proceeding of t he Conference (MFIπ99) . London : ...
3) finite simple group 有限单群 1. Along from being analogous with prime numbers for the multiplication of positive integers, finite simple groups serve as the“atoms”or“building blocks”for finite groups. 正如素数是正整数乘法的“原子”或“积木块”一样,有限单群宛如有限群的“原子”或“积木...
But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to conv...
The classification of finite simple groups is one of the most important mathematical achievements of these days. Not only that a long withstanding classification problem has been solved, but moreover this theorem has opened a new stage in group theory. There are numerous theorems in mathematics who...
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M. Collins, Ed.:Finite Simple Groups, II, Academic Press, London 1980 MATH Google Scholar B.Cooperstein, G.Mason, Ed.:Proceedings of Symposia in Pure Mathematics 37 (1980) . W. Feit: The theory of finite groups in the twentieth century,History of Algebra W. Feit, J. Thompson: Solv...
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This is the first complete classification of locally 2-arc transitive graphs for an infinite family of simple groups.doi:10.1016/j.jalgebra.2004.08.013Xin Gui FangCai Heng LiCheryl E. Praeger... GF Xin,HL Cai,CE Praeger - 《Journal of Algebra》 被引量: 113发表: 2004年 A Classification ...